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Finding the Fourth Proportional to 4,659.89, 6,428.03 and 2,769.62

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Solution

The fourth proportional to 4,659.89, 6,428.03 and 2,769.62 is: 3,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.89 : 6,428.03 = 2,769.62 : x
  2. Step 2: Convert to fraction form
    4,659.89/6,428.03 = 2,769.62/x
  3. Step 3: Cross multiply
    4,659.89x = 6,428.03 × 2,769.62
  4. Step 4: Simplify right side
    4,659.89x = 17,803,154.46
  5. Step 5: Solve for x
    x = 17,803,154.46/4,659.89
  6. Step 6: Final answer
    x = 3,820.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.